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Finding the Fourth Proportional to 814.62, 1,123.80 and 593.10

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Solution

The fourth proportional to 814.62, 1,123.80 and 593.10 is: 818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.62 : 1,123.80 = 593.10 : x
  2. Step 2: Convert to fraction form
    814.62/1,123.80 = 593.10/x
  3. Step 3: Cross multiply
    814.62x = 1,123.80 × 593.10
  4. Step 4: Simplify right side
    814.62x = 666,525.78
  5. Step 5: Solve for x
    x = 666,525.78/814.62
  6. Step 6: Final answer
    x = 818.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.